vectors-m

Related Questions

• If the position vectors of the points A, B, C be $\mathbf{i}+\mathbf{j},\,\,\,\mathbf{i}-\mathbf{j}$ and $a\,\,\mathbf{i}+b\,\mathbf{j}+c\,\mathbf{k}$ respectively, then the points A, B, C are collinear if

  ---

• The number of vectors of unit length perpendicular to vectors $\mathbf{a}=(1,\,\,1,\,\,0)$ and $\mathbf{b}=(0,\,\,1,\,\,1)$ is

  ---

• In the triangle ABC, $\overrightarrow{AB}=\mathbf{a},\,\,\overrightarrow{AC}=\mathbf{c},\,\,\overrightarrow{BC}=\mathbf{b}$ , then

  ---

• The position vectors of two points A and B are $\mathbf{i}+\mathbf{j}-\mathbf{k}$ and $2\mathbf{i}-\mathbf{j}+\mathbf{k}$ respectively. Then $|\overrightarrow{AB}|\,\,=$

  ---

• If $\mathbf{x}+\mathbf{y}+\mathbf{z}=0,|\mathbf{x}|=|\mathbf{y}|=|\mathbf{z}|=2$ and $\theta $ is angle between $\mathbf{y}$ and $\mathbf{z}$, then the value of $\text{cose}{{\text{c}}^{2}}\theta +{{\cot }^{2}}\theta $ is equal to

  ---